84634000 has 80 divisors (see below), whose sum is σ = 223307136. Its totient is φ = 30768000.

The previous prime is 84633979. The next prime is 84634009. The reversal of 84634000 is 43648.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (84634009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20077 + ... + 23923.

Almost surely, 2^84634000 is an apocalyptic number.

84634000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111653568).

84634000 is an abundant number, since it is smaller than the sum of its proper divisors (138673136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84634000 is a wasteful number, since it uses less digits than its factorization.

84634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 84634000 is about 9199.6739072643. The cubic root of 84634000 is about 439.0509848890.

Adding to 84634000 its reverse (43648), we get a palindrome (84677648).

The spelling of 84634000 in words is "eighty-four million, six hundred thirty-four thousand".